A man is on a game show. He is presented with two doors, one on the left and one on the right. Behind one door is 2 million dollars, and behind the other is a donkey. Choose the correct door to win the prize.

There are also two men in front of the doors who know which door leads to the millions. One wears a black hat, the other wears a white hat. The host explains that one of the men is a liar and will always lie, while the other man will always tell the truth, but you don't know which is which. You can only ask one of the men one question.

What is the question, and which man do you ask to ensure you win the money?

You ask either guy: Which door would the other guy say the money is behind. Then pick the other door. This is why: if you ask the truth teller, who will tell you the door the liar will tell you, the wrong door. If you ask the liar, he will tell you the wrong door, because he lies about what door the truth teller would say. In either case, they give you the wrong door, so you choose the other.

Answered by MicahSE | 2024-06-10

It doesn't matter which man you ask. The answer you get will tell you where the million $ is, although you still won't know whether the man you asked was the liar or the truther. (But who cares about that. Right ?)
Pick either 'guard',and ask him:
"*** IF*** I were to ask you 'Is the money behind your door ?', would you say 'Yes' ? "

Answered by AL2006 | 2024-06-10

To determine which door has the money, ask either man: "If I were to ask you if the money is behind your door, would you say yes?" Regardless of who you ask, a yes answer would indicate the door he guards has the money behind it. This way, you can confidently choose the correct door to win the prize.
;

Answered by AL2006 | 2024-10-02